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Finding the Third Proportional to 34.84 and 74.18

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Solution

The third proportional to 34.84 and 74.18 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.84 : 74.18 = 74.18 : x
  2. Step 2: Convert to fraction form
    34.84/74.18 = 74.18/x
  3. Step 3: Cross multiply
    34.84x = 74.18 × 74.18
  4. Step 4: Simplify right side
    34.84x = 5,503.22
  5. Step 5: Solve for x
    x = 5,503.22/34.84
  6. Step 6: Final answer
    x = 157.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.